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Finding the Fourth Proportional to 1,146.61, 1,582.14 and 793.27

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Solution

The fourth proportional to 1,146.61, 1,582.14 and 793.27 is: 1,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.61 : 1,582.14 = 793.27 : x
  2. Step 2: Convert to fraction form
    1,146.61/1,582.14 = 793.27/x
  3. Step 3: Cross multiply
    1,146.61x = 1,582.14 × 793.27
  4. Step 4: Simplify right side
    1,146.61x = 1,255,064.20
  5. Step 5: Solve for x
    x = 1,255,064.20/1,146.61
  6. Step 6: Final answer
    x = 1,094.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.